Systems of equation word problem about ticket prices

Question

A school fund raising event sold a total of

219 tickets and generated a total revenue of $795.20. There are two types of tickets: adult tickets and child tickets. Each adult ticket costs $5.40, and each child ticket costs $2.80

Thank you for helping.

Answer 1

Let x = adult tickets

Let y = child tickets

The 2 equations are:

x+y=219

5.4x+2.8y=795.20

This could be solved using substitution or elimination. But those decimals won't be too fun to work with. Solving on the calculator using matrices, I got:

There are 70 adult tickets and 149 child tickets sold.